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Finding the Fourth Proportional to 5,734.09, 7,913.12 and 3,343.99

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Solution

The fourth proportional to 5,734.09, 7,913.12 and 3,343.99 is: 4,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.09 : 7,913.12 = 3,343.99 : x
  2. Step 2: Convert to fraction form
    5,734.09/7,913.12 = 3,343.99/x
  3. Step 3: Cross multiply
    5,734.09x = 7,913.12 × 3,343.99
  4. Step 4: Simplify right side
    5,734.09x = 26,461,394.15
  5. Step 5: Solve for x
    x = 26,461,394.15/5,734.09
  6. Step 6: Final answer
    x = 4,614.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.